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Finding the Third Proportional to 668,085 and 1,559,154

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Solution

The third proportional to 668,085 and 1,559,154 is: 3,638,700.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,085 : 1,559,154 = 1,559,154 : x
  2. Step 2: Convert to fraction form
    668,085/1,559,154 = 1,559,154/x
  3. Step 3: Cross multiply
    668,085x = 1,559,154 × 1,559,154
  4. Step 4: Simplify right side
    668,085x = 2,430,961,195,716
  5. Step 5: Solve for x
    x = 2,430,961,195,716/668,085
  6. Step 6: Final answer
    x = 3,638,700.46

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.